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11121011020 = 2257891018837
BaseRepresentation
bin10100101101101110…
…10010100101001100
31001201001010220011001
422112313102211030
5140233434323040
65035305510044
7542406014440
oct122667224514
931631126131
1011121011020
1147975801a9
1221a44a2324
1310830167c2
14776db0820
154514e459a
hex296dd294c

11121011020 has 96 divisors (see below), whose sum is σ = 27260634240. Its totient is φ = 3732326400.

The previous prime is 11121010939. The next prime is 11121011107. The reversal of 11121011020 is 2011012111.

11121011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111210110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11121010988 and 11121011006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254042 + ... + 1262878.

It is an arithmetic number, because the mean of its divisors is an integer number (283964940).

Almost surely, 211121011020 is an apocalyptic number.

11121011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13630317120).

11121011020 is an abundant number, since it is smaller than the sum of its proper divisors (16139623220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121011020 is a wasteful number, since it uses less digits than its factorization.

11121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11121011020 its reverse (2011012111), we get a palindrome (13132023131).

The spelling of 11121011020 in words is "eleven billion, one hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 101 140 178 202 356 404 445 505 623 707 890 1010 1246 1414 1780 2020 2492 2828 3115 3535 6230 7070 8837 8989 12460 14140 17674 17978 35348 35956 44185 44945 61859 62923 88370 89890 123718 125846 176740 179780 247436 251692 309295 314615 618590 629230 786493 892537 1237180 1258460 1572986 1785074 3145972 3570148 3932465 4462685 5505451 6247759 7864930 8925370 11010902 12495518 15729860 17850740 22021804 24991036 27527255 31238795 55054510 62477590 79435793 110109020 124955180 158871586 317743172 397178965 556050551 794357930 1112101102 1588715860 2224202204 2780252755 5560505510 11121011020